16. A necklace of former First Lady Jacqueline Kennedy Onassis was originally worth $700. Its value then increased to $211,500. Find the percent of increase in the value of the necklace,

30,114.3%

Step-by-step explanation:

Use the percent increase formula:

((new value - initial value) / initial value) x 100

Plug in the values:

((211,500 - 700) / 700) x 100

(210,800 / 700) x 100

= 30,114.29

So, the percent increase is 30,114.3%

a and c

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.